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Finding the Fourth Proportional to 2,541.83, 3,813.27 and 876.10

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Solution

The fourth proportional to 2,541.83, 3,813.27 and 876.10 is: 1,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.83 : 3,813.27 = 876.10 : x
  2. Step 2: Convert to fraction form
    2,541.83/3,813.27 = 876.10/x
  3. Step 3: Cross multiply
    2,541.83x = 3,813.27 × 876.10
  4. Step 4: Simplify right side
    2,541.83x = 3,340,812.26
  5. Step 5: Solve for x
    x = 3,340,812.26/2,541.83
  6. Step 6: Final answer
    x = 1,314.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.